62 citations · 335 across the 26 of their papers we have counts for
26 papers
Notes about KP/BKP correspondence
A. Orlov
I present a set of remarks related to joint works \cite{paper1},\cite{paper2},\cite{paper3},\cite{MMNO}. These are remarks about polynomials solutions and vertex operators, eigenpr…
Polynomial KP and BKP -functions and correlators
J. Harnad, A. Yu. Orlov
Lattices of polynomial KP and BKP -functions labelled by partitions, with the flow variables equated to finite power sums, as well as associated multipair KP and multipoint BKP…
Bilinear expansions of lattices of KP -functions in BKP -functions: a fermionic approach
J. Harnad, A. Yu. Orlov
We derive a bilinear expansion expressing elements of a lattice of KP -functions, labelled by partitions, as a sum over products of pairs of elements of an associated lattice of…
Bilinear expansion of Schur functions in Schur -functions: a fermionic approach
J. Harnad, A. Yu. Orlov
An identity is derived expressing Schur functions as sums over products of pairs of Schur -functions, generalizing previously known special cases. This is shown to follow from t…
Hypergeometric τ-functions, Hurwitz numbers and enumeration of paths
J. Harnad, A. Yu. Orlov
A multiparametric family of 2D Toda -functions of hypergeometric type is shown to provide generating functions for composite, signed Hurwitz numbers that enumerate certain class…
Pfaffian and determinantal tau functions I
J. W. van de Leur, A. Yu. Orlov
Adler, Shiota and van Moerbeke observed that a tau function of the Pfaff lattice is a square root of a tau function of the Toda lattice hierarchy of Ueno and Takasaki. In this pape…